Algebra
What is the value of 3(4x + 5y) when x = −2 and y = 3?
21
How many unit cubes are required to create a larger cube with edge length 3 units?
27
What is the remainder when the sum of the smallest and second-smallest prime numbers is divided by the third-smallest prime number?
0
If Yasuko randomly selects a single-digit positive integer, what is the probability that it is not prime? Express your answer as a common fraction.
5/9
What is the result when one hundred twenty-eight thousand is subtracted from one million?
872,000
Aleksandr wants to brew vodka for 12 people. Wheat is one of the main ingredients of Vodka. He plans to use a recipe that calls for 5/4 cups of wheat to serve 5 people. How many cups of wheat will Aleksandr need for his vodka?
3
If the volume of the air in an exercise ball is 137,250 cm^3, what is the inside diameter of the ball? Express your answer to the nearest whole number. (Area of sphere is 4πr^3/3)
32
What is the greatest two-digit prime number that is one greater than a perfect square?
37
A sports team of eight players must choose three starting players. How many different choices of three starters are there if the order in which they are chosen does not matter?
56
What is the value of 81^(3/4)?
27
If s equals the square root of the reciprocal of 1.21, what is the value of s? Express your answer as a common fraction.
10/11
An isosceles right triangle is inscribed in a semicircle of radius 10 cm. What is the area of the triangle?
100
Let x and y represent the LCM and GCF, respectively, of 24 and 40. What is the value of x/y?
15
Mr. Scott has five algebra books and four geometry books. He wants to arrange them all on a single shelf. If Mr. Scott keeps all of the algebra books together and all of the geometry books together, how many ways can he arrange these books on his shelf?
If f(x) = x2 and g(x) = 2x − 1, what is the value of f(5) − g(8)?
10
If x equals twice its reciprocal, what is the value of x^4?
4
A right triangle is inside a circle, with one vertex of the triangle at the center of the circle and the other two vertices on the circle, as shown. If the circle has radius 6 units, what is the area between the hypotenuse of the triangle and the arc of the circle? Express your answer as a decimal to the nearest tenth.
10.3
Find the number of factors of 1296 that are perfect squares or perfect cubes.
12
A fair coin is flipped 5 times. What is the probability that no two consecutive flips have the same result? Express your answer as a common fraction?
1/16
If each of the numbers 2, 7, 3 and 8 is assigned to one of the variables a, b, c and d, what is the greatest possible value of the sum of the two digit numbers ab, bc, and cd?
197
If 8 – x^2 – y^2 – 2xy = 0, for real numbers x and y, what is the value of |x + y|? Express your answer in simplest radical form.
Point Q is the reflection of P(a, 4) over the x-axis, and R is the reflection of Q over the y-axis. If the area of PQR is 12 units^2 and a > 0, what is the value of a? Express your answer as a decimal to the nearest tenth.
1.5
What is the smallest five-digit number that has exactly one 4 and exactly one 6 and is a multiple of 9?
10467
I filp a fair coin three times. What is the probability that I do not flip two heads or more in a row?
1/2
What is the sum of all numbers in row 11 of Pascal's triangle? (The row where 1 appears once is row zero)
2048